Answer:
x = 13/6
Step-by-step explanation:
We are the following expression;
x - 2(2 - (3/2)*x) = 2(4 - x) + 1
x - (4 - 3*x) = 8 - 2*x + 1
x - 4 + 3*x = 8 - 2*x + 1
4*x + 2*x = 9 + 4
6*x = 13
x = 13/6
Answer:
An exponential
Step-by-step explanation:
The second one is ratio
Width of rectangle is 
Step-by-step explanation:
Area of rectangle = 
Length of garden = 
Width of rectangle = ?
Using the Formula:
Area = Length * Width
Putting values and finding width:

So, width of rectangle is 
Keywords: Area of rectangle
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Answer:
a) 0.264
b) 48 cubit light-years
Step-by-step explanation:
For calculating a) What is the probability of 3 or more stars in 16 cubic light years?
a)
λ= 1 star/16 cubic light-years
t= measure t in units of 16 cubic light years.
E(Y) = λ t = (1/16)(16) = 1 star
P(X>=2) = 1 - P(X<2)
= 1 - [e^-1 + (e^-1)(1)/1!]
= 0.264
b)
P(X≥1) = 1 - P(X=0)
= 1 - e^-μ
0.95 = 1 - e^-μ
e^-μ = 1 - 0.95
e^-μ = 0.05
ln(e^-μ) = ln(0.05)
-μ = -3
μ = 3
Therefore 3 x 16 = 48 cubic light years of space
To use the angle-angle similarity theorem you need to know 2 corresponding angles of each triangle are the same.
You are already shown that angles H and M are the same.
The sets of corresponding angles are:
H and M, N and I, and O and J
The answer would be angle O and angle J are similar.